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arXiv 2108.00766gr-qchep-th
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引力电磁系统中的黑洞第一定律

First Law of Black Hole in the Gravitational Electromagnetic System

Jie Jiang, Aofei Sang, Ming Zhang

摘要:

在考虑了Einstein-Maxwell理论的量子修正后,有效理论将包含一些高曲率项和非最小耦合电磁场。本文用拉格朗日量$\math{L}(g_{ab}, R_{abcd}, F_{ab})$研究了引力电磁系统中黑洞的第一定律。首先计算了该理论中的Noether荷和变分恒等式,然后在不要求电磁场在分岔面上光滑的条件下,一般地导出了渐近平坦的稳态轴对称黑洞的热力学第一定律.我们的结果表明,黑洞热力学第一定律可能适用于Einstein-Maxwell理论,在有效区域内进行量子修正。

英文摘要:

After considering the quantum corrections of Einstein-Maxwell theory, the effective theory will contain some higher-curvature terms and nonminimally coupled electromagnetic fields. In this paper, we study the first law of black holes in the gravitational electromagnetic system with the Lagrangian $\math{L}(g_{ab}, R_{abcd}, F_{ab})$. Firstly, we calculate the Noether charge and the variational identity in this theory, and then generically derive the first law of thermodynamics for an asymptotically flat stationary axisymmetrical symmetric black hole without the requirement that the electromagnetic field is smooth on the bifurcation surface. Our results indicate that the first law of black hole thermodynamics might be valid for the Einstein-Maxwell theory with some quantum corrections in the effective region.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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